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math.AP2022★ 2 cited
Gradient regularity and first-order potential estimates for a class of nonlocal equations
Tuomo Kuusi, Simon Nowak, Yannick Sire
We consider nonlocal equations of order larger than one with measure data and prove gradient regularity in Sobolev and Hölder spaces as well as pointwise bounds of the gradient in…
math.AP2022★ 2 cited
Elliptic homogenization from qualitative to quantitative
Scott Armstrong, Tuomo Kuusi
We give a self-contained introduction to the theory of elliptic homogenization for random coefficient fields, starting from classical qualitative homogenization. The presentation a…